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Perpetuity: Investments and depreciation

The cash flow of the "perpetual annuity" is considered an extremely value-sensitive parameter in the DCF valuation. Among other things, it is determined by the level of long-term investments.

Written by

Peter Schmitz

Published on

3.12.19

TABLE OF CONTENT

Introduction

The following article provides brief and concise information on the relationship between investments and depreciation in the perpetual annuity.

Significance of the cash flow in the perpetual annuity

The cash flow of the "perpetual annuity" is considered an extremely value-sensitive parameter in the DCF valuation. Among other things, it is determined by the level of long-term investments. Depreciation has a secondary effect: although it is initially non-cash, a valuation-relevant cash effect arises via the tax relief.

Investments and depreciation: A common mistake

Investments and depreciation are often recognized in the same amount in perpetuity. This is generally incorrect. The easily understandable reason for this is that investments are made at current procurement costs, while depreciation reflects historical costs. Both cost variables are not identical for price increase rates > 0.

Rule of thumb for the difference

A rule of thumb for the difference between investments and depreciation is: depreciation period / 2 * price increase. For assets with a useful life of 20 years and an average price increase of 2 % p.a., investments are therefore ~ 20 % higher than depreciation. This applies in principle always and not only for the "perpetual annuity".

Meaning for evaluators

For valuers, knowledge of this effect is important because the financial planning is usually provided by the client and/or the management, whereas the determination of the perpetuity is the original task of the valuer. Neglecting this effect leads to an overvaluation due to overestimated depreciation and the resulting tax relief.

Key message

Investments should reflect replacement costs, whereas depreciation should reflect historical costs. Typical error: Investments and depreciation are recognized in the same amount.

Take-Aways

  • High average useful life of fixed assets: widens the gap between investments and depreciation.
  • Development of procurement prices: A key     factor influencing the difference between investments and depreciation.
  • High asset intensity of the valuation object: With a comparatively high share of depreciation costs in the total     costs of the valuation object, this effect has a significant influence on     the value determination.

Wrapping it up

The difference between capital expenditure and depreciation is a critical factor in DCF valuation, especially in perpetuity. Taking into account current acquisition costs for capital expenditure and historical costs for depreciation ensures a realistic and accurate valuation. smartZebra's tools and expertise can help to carry out these complex valuation processes efficiently and accurately.

FAQs

Why is it wrong to recognize investments and depreciation in the same amount?
What is the rule of thumb for the difference between investments and depreciation?
How does the useful life of fixed assets influence the valuation?
What role does the rate of price increases play?
How can smartZebra help with the valuation of investments and depreciation?
Why is knowledge of this effect important for valuers?
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